how does my teacher get the third step; y = Ce^(x^2+2x) ?

[trail rock]

i dont understand why C isnt in the exponent with x^2+2x

and is instead on the outside

[thin wharf]

they should've used something different to C

sum to product exponent law

e^(x^2 + 2x + C) = e^C * e^(x^2 + 2x)
e^C is a constant

ideally they should've use something like
C', C_1 or D etc

[trail rock]

| e^C is a constant

this is definitely why he just put C

thank you

[verbal sigil]

.solved